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Dirac delta function three-dimensional

This relation may be obtained by the same derivation as that leading to equation (B.28), using the integral representation (C.7) for the three-dimensional Dirac delta function. [Pg.291]

The Dirac delta function may be readily generalized to three-dimensional space. If r represents the position vector with components x, y, and z, then the three-dimensional delta function is... [Pg.294]

By purely formal manipulations, e.g., by rewriting the integral side conditions as integrals over 2 of integrands containing the three-dimensional Dirac delta function as a factor, and then applying the Euler and Lagrange formalism, we are led to a function... [Pg.56]

In this case the two-electron operator is defined by means of a three dimensional Dirac delta function ... [Pg.223]

Bragg s law is essentially a three-dimensional case of the Dirac delta function, seen in Chapter 4, in that it specifies the diffracted radiation to be identically zero except for a discrete set of angular relationships between two variables k and ko, or more precisely, for specific values of their difference, s. Cast in terms of vectors, where d is the plane normal and has length equal to X/dhu the diffracted ray may be written as... [Pg.102]

The fourth and fifth integrals in (16) are Fourier representations of the three-dimensional Dirac delta function, whence... [Pg.154]

For a vector r in the three-dimensional space with components x, y, and x, the Dirac delta function (r — r ) is represented as... [Pg.15]

F(k) and /(r) are said to be a Fourier transform pair. All the Fourier transform pairs we shall need here are given in Table A.l. In particular, the Fourier representation of the three-dimensional Dirac delta function is... [Pg.412]

The root mean square centroid separation is /, the Kuhn step length. 5 (r) is the three-dimensional Dirac delta function. The distribution Gq can be evaluated to be... [Pg.3]


See other pages where Dirac delta function three-dimensional is mentioned: [Pg.440]    [Pg.37]    [Pg.224]    [Pg.407]    [Pg.35]    [Pg.226]    [Pg.677]    [Pg.433]    [Pg.306]    [Pg.136]    [Pg.1570]    [Pg.35]    [Pg.657]    [Pg.77]    [Pg.35]   
See also in sourсe #XX -- [ Pg.154 ]




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